Listen A toy company sells a box of 250 building blocks. The quality control team allows for a margin of error of \pm 15 blocks. Write and solve an absolute value inequality to represent the situation. Use the variable $b$ to represent the number of blocks. Type your answers in the boxes. The inequality that represents the situation is The solution set is

Step 1 ：The question is asking for an absolute value inequality that represents the number of blocks in a box, given a margin of error of 15 blocks. The number of blocks in a box is represented by the variable \(b\). The absolute value inequality will represent the acceptable range of blocks in a box, which is 250 blocks plus or minus 15 blocks.

Step 2 ：The absolute value inequality that represents this situation is \(|b - 250| \leq 15\). This inequality means that the difference between the number of blocks in a box and the expected number of blocks (250) must be less than or equal to 15.

Step 3 ：To solve this inequality, we can split it into two separate inequalities: \(b - 250 \leq 15\) and \(-b + 250 \leq 15\). Solving these inequalities will give us the range of acceptable numbers of blocks in a box.

Step 4 ：The solutions to the inequalities are 265 and 235. This means that the acceptable range of blocks in a box is from 235 to 265.

Step 5 ：\(\boxed{\text{The inequality that represents the situation is } |b - 250| \leq 15. \text{ The solution set is } [235, 265]}\)